# Dissociation of One-Dimensional Matter-Wave Breathers due to Quantum Many-Body Effects.

@article{Yurovsky2017DissociationOO, title={Dissociation of One-Dimensional Matter-Wave Breathers due to Quantum Many-Body Effects.}, author={Vladimir A. Yurovsky and Boris A. Malomed and Randall G. Hulet and Maxim Olshanii}, journal={Physical review letters}, year={2017}, volume={119 22}, pages={ 220401 } }

We use the ab initio Bethe ansatz dynamics to predict the dissociation of one-dimensional cold-atom breathers that are created by a quench from a fundamental soliton. We find that the dissociation is a robust quantum many-body effect, while in the mean-field (MF) limit the dissociation is forbidden by the integrability of the underlying nonlinear Schrödinger equation. The analysis demonstrates the possibility to observe quantum many-body effects without leaving the MF range of experimental…

## 16 Citations

Nonlocal Pair Correlations in a Higher-Order Bose Gas Soliton.

- PhysicsPhysical review letters
- 2019

The truncated Wigner and positive-P phase-space representations are used to study the dynamics of a one-dimensional Bose gas and show that there are large nonlocal correlations and nonclassical quantum entanglement.

Excitation Modes of Bright Matter-Wave Solitons.

- PhysicsPhysical review letters
- 2019

It is shown that a deliberate mismatch of quench parameters allows for the excitation of breathing modes of the emerging soliton and for the determination of its breathing frequency as a function of atom number and confinement.

Interplay of solitons and radiation in one-dimensional Bose gases

- PhysicsPhysical Review A
- 2019

We study relaxation dynamics in one-dimensional Bose gases, formulated as an initial value problem for the classical non-linear Schr\"{o}dinger equation. We propose an analytic technique which takes…

Quantum coherent states of interacting Bose-Fermi mixtures in one dimension

- PhysicsPhysical Review Research
- 2022

We study two-component atomic gas mixtures in one dimension involving both bosons and fermions. When the inter-species interaction is attractive, we report a rich variety of coherent ground-state…

Attractive Bose-Einstein condensates in anharmonic traps: Accurate numerical treatment and the intriguing physics of the variance

- PhysicsChemical Physics
- 2018

Dynamics of nonlinear Schrödinger breathers in a potential trap.

- PhysicsPhysical review. E
- 2018

We consider the evolution of the 2-soliton (breather) of the nonlinear Schrödinger equation on a semi-infinite line with the zero boundary condition and a linear potential, which corresponds to the…

Splitting of nonlinear-Schrödinger-equation breathers by linear and nonlinear localized potentials

- PhysicsPhysical Review A
- 2019

We consider evolution of one-dimensional nonlinear-Schr\"odinger (NLS) two-soliton complexes (breathers) with narrow repulsive or attractive potentials (barrier or well, respectively). By means of…

Deep inelastic collision of two-dimensional anisotropic dipolar condensate solitons

- PhysicsCommun. Nonlinear Sci. Numer. Simul.
- 2022

Désordre et interactions dans les gaz quantiques bosoniques

- Physics
- 2019

Les gaz d'atomes ultra-froids sont des systemes a N-corps quantiques extremement propres et versatiles qui permettent de revisiter dans un environnement controle des concepts fondamentaux souvent…

Quantum Fluctuations of the Center of Mass and Relative Parameters of Nonlinear Schrödinger Breathers.

- PhysicsPhysical review letters
- 2020

The breather dissociation time is confirmed to be within the limits of current cold-atom experiments, for macroscopic N, and fluctuations of soliton masses, phases, and positions are evaluated and may have experimental implications.

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